Organic matter contains 52.1% carbon and 13.1% hydrogen, the relative vapor density of this substance

Organic matter contains 52.1% carbon and 13.1% hydrogen, the relative vapor density of this substance for hydrogen is 34.8. determine the formula of this substance.

1. Let’s calculate the simplest formula thanks to the ratio N (C): N (H): N (O) = w (C) / M (C): w (H) / M (H): w (O) / M (O )
N (C): N (H): N (O) = 52.1 / 12: 13.1 / 1: 34.8 / 16 => N (C): N (H): N (O) = 2 : 6: 1
Then the simplest formula has the form C2H6O, the molar mass of C2H6O is 12 + 3 = 46 g / mol
2. The molar mass of a substance is found from the formula M = D * M (H2)
M = 34.8 * 2 = 69.6. The multiplicity of the simplest formula is 69.6 / 46 = 1.5
Then the true formula is (C2H6O) 1.5 or C6H18O3